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A general model of best response adaptation

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  • Ulrich Berger

    (Vienna University of Economics)

Abstract

We develop a general model of best response adaptation in large populations for symmetric and asymmetric conflicts with role-switching. For special cases including the classical best response dynamics and the symmetrized best response dynamics we show that the set of Nash equilibria is attracting for zero-sum games. For asymmetric conflicts and equally large populations, convergence to a Nash equilibrium in the base game implies convergence to a Nash equilibrium on the Wright manifold in the role game.

Suggested Citation

  • Ulrich Berger, 2003. "A general model of best response adaptation," Game Theory and Information 0303008, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpga:0303008
    Note: Type of Document - pdf-file; pages: 21; figures: included
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    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/0303/0303008.pdf
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Role Games; Best Response Adaptation; Learning; Evolution;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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